16127467314201 has 24 divisors (see below), whose sum is σ = 23735361424320. Its totient is φ = 10548517782816.

The previous prime is 16127467314187. The next prime is 16127467314221. The reversal of 16127467314201 is 10241376472161.

16127467314201 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 74 + 67 + 314 + 201 = 666.

It is not a de Polignac number, because 16127467314201 - 2⁷ = 16127467314073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16127467314221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19494750 + ... + 20305176.

It is an arithmetic number, because the mean of its divisors is an integer number (988973392680).

Almost surely, 2^{16127467314201} is an apocalyptic number.

It is an amenable number.

16127467314201 is a deficient number, since it is larger than the sum of its proper divisors (7607894110119).

16127467314201 is a wasteful number, since it uses less digits than its factorization.

16127467314201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852205 (or 852202 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 16127467314201 in words is "sixteen trillion, one hundred twenty-seven billion, four hundred sixty-seven million, three hundred fourteen thousand, two hundred one".